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Simplifying 3(-6b + 2 + -8b) = -12b + 36 Reorder the terms: 3(2 + -6b + -8b) = -12b + 36 Combine like terms: -6b + -8b = -14b 3(2 + -14b) = -12b + 36 (2 * 3 + -14b * 3) = -12b + 36 (6 + -42b) = -12b + 36 Reorder the terms: 6 + -42b = 36 + -12b Solving 6 + -42b = 36 + -12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '12b' to each side of the equation. 6 + -42b + 12b = 36 + -12b + 12b Combine like terms: -42b + 12b = -30b 6 + -30b = 36 + -12b + 12b Combine like terms: -12b + 12b = 0 6 + -30b = 36 + 0 6 + -30b = 36 Add '-6' to each side of the equation. 6 + -6 + -30b = 36 + -6 Combine like terms: 6 + -6 = 0 0 + -30b = 36 + -6 -30b = 36 + -6 Combine like terms: 36 + -6 = 30 -30b = 30 Divide each side by '-30'. b = -1 Simplifying b = -1
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